Translations:Signature deconvolution - book/7/en

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Figures 11 though 15 describe a simplified example of vibroseis deconvolution. Figure 11a shows the signature s, which is a swept-frequency signal. Figure 11b shows the field trace x, which is the convolution of a reflectivity with the signature s. Figure 12a shows the corresponding Klauder wavelet, which is the autocorrelation of the signature s. This autocorrelation is used to compute the spiking filter f. Figure 12b shows the spiking filter f. Figure 13a shows the all-pass wavelet p, which we obtain by convolving f with s. Figure 13b shows the minimum-delay counterpart b of the signature s. The minimum-delay counterpart b of the signature s, which is the inverse of the filter f, is the wavelet remaining on the dephased trace y in place of the original signature s. Figure 14a shows the dephased trace y. Figure 14b shows the signature-free trace . However, reverberating energy still remains on the signature-free trace, so we introduce predictive (spiking) deconvolution. Figure 15a shows the predictive (spiking) deconvolution filter computed from the signature-free trace. Figure 15b shows the trace we obtain after predictive (spiking) deconvolution, and that trace is an estimate of the approximate reflectivity .